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An uncharged conducting sphere of radius 2b is centered on the origin and has a spherical...

An uncharged conducting sphere of radius 2b is centered on the origin and has a spherical cavity of radius b that is also centered on the origin. 1. If a charge of +q is at the origin, explain why the surfaces at r=2b and r=b each have a net charge of +q and −q, respectively, and not, say, +q/2 and −q/2. 2. Repeat this question for the case where the inner surface of the cavity is not spherical (but the charge at the origin is still in a cavity)

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